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Physics · 2023 · 3 marks
CBSE 2023 · Region 5 · Set 1 · Q27
An alternating voltage of 220 V is applied across a device X. A current of 0.22 A flows in the circuit and it lags behind the applied voltage in…
An alternating voltage of $\displaystyle 220$ V is applied across a device X . A current of $\displaystyle 0.22$ A flows in the circuit and it lags behind the applied voltage in phase by $\displaystyle \pi / 2$ radian. When the same voltage is applied across another device Y , the current in the circuit remains the same and it is in phase with the applied voltage.
(i)
Name the devices X and Y and,
(ii)
Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y .
Marking-scheme solution
(ii)
(i) X is inductor
Y is resistor
(ii) \(\displaystyle X_{L}=\frac{220}{0.22}=1000 \Omega\)
\[R=\frac{220}{0.22}=1000 \Omega
\]
\[I_{r m s}=\frac{V_{r m s}}{\sqrt{X_{L}^{2}+R^{2}}}
\]
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